Evaluate the Improper Integral $\int _ { 3 } ^ { \infty } \frac { x ^ { 2 } } { \left( x ^ { 3 } + 7 \right) ^ { 2 } } d x$

question 16

Multiple Choice

Evaluate the improper integral: $\int _ { 3 } ^ { \infty } \frac { x ^ { 2 } } { \left( x ^ { 3 } + 7 \right) ^ { 2 } } d x$

• A) \(\frac { 1 } { 104 }\)
• B) \(\frac { 1 } { 102 }\)
• C) \(\frac { 1 } { 68 }\)
• D)102

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Definitions:

Contributory Negligence

A legal doctrine that can reduce the plaintiff's damages if they are found to have contributed to their own harm, even partially.

Strict Liability

A legal doctrine holding an individual or entity responsible for damages or harm caused by their actions or products, regardless of fault or intent.

Defenses Available

A rewording of legal strategies or claims that can be used by a defendant to reduce liability or dismiss a lawsuit.

Strict Liability

Refers to legal responsibility for damages or injury, even if the person found strictly liable was not at fault or negligent.